Non-Isomorphic Product Systems
Abstract
Description
Uncountably many mutually non-isomorphic product systems (that is, continuous tensor products of Hilbert spaces) of types II-0 and III are constructed by probabilistic means (random sets and off-white noises), answering four questions of W. Arveson. Results of math.FA/0001070, math.FA/0006165 are improved, and proofs are more readable.
70 pages. Small errors corrected, especially in 1.9, 2.3, 5.8 (formulations) and 13.6, 13.7 (proofs)
70 pages. Small errors corrected, especially in 1.9, 2.3, 5.8 (formulations) and 13.6, 13.7 (proofs)